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Simplifying -58 = -7m + -2(8m + 6) Reorder the terms: -58 = -7m + -2(6 + 8m) -58 = -7m + (6 * -2 + 8m * -2) -58 = -7m + (-12 + -16m) Reorder the terms: -58 = -12 + -7m + -16m Combine like terms: -7m + -16m = -23m -58 = -12 + -23m Solving -58 = -12 + -23m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '23m' to each side of the equation. -58 + 23m = -12 + -23m + 23m Combine like terms: -23m + 23m = 0 -58 + 23m = -12 + 0 -58 + 23m = -12 Add '58' to each side of the equation. -58 + 58 + 23m = -12 + 58 Combine like terms: -58 + 58 = 0 0 + 23m = -12 + 58 23m = -12 + 58 Combine like terms: -12 + 58 = 46 23m = 46 Divide each side by '23'. m = 2 Simplifying m = 2
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