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Simplifying -3(4m + 6) = 3(4 + -1sm) Reorder the terms: -3(6 + 4m) = 3(4 + -1sm) (6 * -3 + 4m * -3) = 3(4 + -1sm) (-18 + -12m) = 3(4 + -1sm) -18 + -12m = (4 * 3 + -1ms * 3) -18 + -12m = (12 + -3ms) Solving -18 + -12m = 12 + -3ms Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3ms' to each side of the equation. -18 + -12m + 3ms = 12 + -3ms + 3ms Combine like terms: -3ms + 3ms = 0 -18 + -12m + 3ms = 12 + 0 -18 + -12m + 3ms = 12 Add '18' to each side of the equation. -18 + -12m + 18 + 3ms = 12 + 18 Reorder the terms: -18 + 18 + -12m + 3ms = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -12m + 3ms = 12 + 18 -12m + 3ms = 12 + 18 Combine like terms: 12 + 18 = 30 -12m + 3ms = 30 Reorder the terms: -30 + -12m + 3ms = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -12m + 3ms = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + -4m + ms) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + -4m + ms)' equal to zero and attempt to solve: Simplifying -10 + -4m + ms = 0 Solving -10 + -4m + ms = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -4m + 10 + ms = 0 + 10 Reorder the terms: -10 + 10 + -4m + ms = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4m + ms = 0 + 10 -4m + ms = 0 + 10 Combine like terms: 0 + 10 = 10 -4m + ms = 10 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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