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Simplifying -6(7m + -8) + -6 = -7m + -28 Reorder the terms: -6(-8 + 7m) + -6 = -7m + -28 (-8 * -6 + 7m * -6) + -6 = -7m + -28 (48 + -42m) + -6 = -7m + -28 Reorder the terms: 48 + -6 + -42m = -7m + -28 Combine like terms: 48 + -6 = 42 42 + -42m = -7m + -28 Reorder the terms: 42 + -42m = -28 + -7m Solving 42 + -42m = -28 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 42 + -42m + 7m = -28 + -7m + 7m Combine like terms: -42m + 7m = -35m 42 + -35m = -28 + -7m + 7m Combine like terms: -7m + 7m = 0 42 + -35m = -28 + 0 42 + -35m = -28 Add '-42' to each side of the equation. 42 + -42 + -35m = -28 + -42 Combine like terms: 42 + -42 = 0 0 + -35m = -28 + -42 -35m = -28 + -42 Combine like terms: -28 + -42 = -70 -35m = -70 Divide each side by '-35'. m = 2 Simplifying m = 2
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