4(m+7)=10m-26form

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Solution for 4(m+7)=10m-26form equation:


Simplifying
4(m + 7) = 10m + -26form

Reorder the terms:
4(7 + m) = 10m + -26form
(7 * 4 + m * 4) = 10m + -26form
(28 + 4m) = 10m + -26form

Reorder the terms:
28 + 4m = -26fmor + 10m

Solving
28 + 4m = -26fmor + 10m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '26fmor' to each side of the equation.
28 + 26fmor + 4m = -26fmor + 26fmor + 10m

Combine like terms: -26fmor + 26fmor = 0
28 + 26fmor + 4m = 0 + 10m
28 + 26fmor + 4m = 10m

Add '-10m' to each side of the equation.
28 + 26fmor + 4m + -10m = 10m + -10m

Combine like terms: 4m + -10m = -6m
28 + 26fmor + -6m = 10m + -10m

Combine like terms: 10m + -10m = 0
28 + 26fmor + -6m = 0

Add '-28' to each side of the equation.
28 + 26fmor + -28 + -6m = 0 + -28

Reorder the terms:
28 + -28 + 26fmor + -6m = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 26fmor + -6m = 0 + -28
26fmor + -6m = 0 + -28

Combine like terms: 0 + -28 = -28
26fmor + -6m = -28

Reorder the terms:
28 + 26fmor + -6m = -28 + 28

Combine like terms: -28 + 28 = 0
28 + 26fmor + -6m = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + 13fmor + -3m) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(14 + 13fmor + -3m)' equal to zero and attempt to solve: Simplifying 14 + 13fmor + -3m = 0 Solving 14 + 13fmor + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 13fmor + -14 + -3m = 0 + -14 Reorder the terms: 14 + -14 + 13fmor + -3m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 13fmor + -3m = 0 + -14 13fmor + -3m = 0 + -14 Combine like terms: 0 + -14 = -14 13fmor + -3m = -14 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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