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Simplifying -7(6 + 4m) = 30 + -4m (6 * -7 + 4m * -7) = 30 + -4m (-42 + -28m) = 30 + -4m Solving -42 + -28m = 30 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -42 + -28m + 4m = 30 + -4m + 4m Combine like terms: -28m + 4m = -24m -42 + -24m = 30 + -4m + 4m Combine like terms: -4m + 4m = 0 -42 + -24m = 30 + 0 -42 + -24m = 30 Add '42' to each side of the equation. -42 + 42 + -24m = 30 + 42 Combine like terms: -42 + 42 = 0 0 + -24m = 30 + 42 -24m = 30 + 42 Combine like terms: 30 + 42 = 72 -24m = 72 Divide each side by '-24'. m = -3 Simplifying m = -3
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