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Simplifying -8(-7m + 6) + 7 = 19 + -4m Reorder the terms: -8(6 + -7m) + 7 = 19 + -4m (6 * -8 + -7m * -8) + 7 = 19 + -4m (-48 + 56m) + 7 = 19 + -4m Reorder the terms: -48 + 7 + 56m = 19 + -4m Combine like terms: -48 + 7 = -41 -41 + 56m = 19 + -4m Solving -41 + 56m = 19 + -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. -41 + 56m + 4m = 19 + -4m + 4m Combine like terms: 56m + 4m = 60m -41 + 60m = 19 + -4m + 4m Combine like terms: -4m + 4m = 0 -41 + 60m = 19 + 0 -41 + 60m = 19 Add '41' to each side of the equation. -41 + 41 + 60m = 19 + 41 Combine like terms: -41 + 41 = 0 0 + 60m = 19 + 41 60m = 19 + 41 Combine like terms: 19 + 41 = 60 60m = 60 Divide each side by '60'. m = 1 Simplifying m = 1
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