3(r-14)+7(r-12)=14

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Solution for 3(r-14)+7(r-12)=14 equation:


Simplifying
3(r + -14) + 7(r + -12) = 14

Reorder the terms:
3(-14 + r) + 7(r + -12) = 14
(-14 * 3 + r * 3) + 7(r + -12) = 14
(-42 + 3r) + 7(r + -12) = 14

Reorder the terms:
-42 + 3r + 7(-12 + r) = 14
-42 + 3r + (-12 * 7 + r * 7) = 14
-42 + 3r + (-84 + 7r) = 14

Reorder the terms:
-42 + -84 + 3r + 7r = 14

Combine like terms: -42 + -84 = -126
-126 + 3r + 7r = 14

Combine like terms: 3r + 7r = 10r
-126 + 10r = 14

Solving
-126 + 10r = 14

Solving for variable 'r'.

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

Add '126' to each side of the equation.
-126 + 126 + 10r = 14 + 126

Combine like terms: -126 + 126 = 0
0 + 10r = 14 + 126
10r = 14 + 126

Combine like terms: 14 + 126 = 140
10r = 140

Divide each side by '10'.
r = 14

Simplifying
r = 14

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