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Simplifying 7(m + -16) + -5(6m + -11) = 35 Reorder the terms: 7(-16 + m) + -5(6m + -11) = 35 (-16 * 7 + m * 7) + -5(6m + -11) = 35 (-112 + 7m) + -5(6m + -11) = 35 Reorder the terms: -112 + 7m + -5(-11 + 6m) = 35 -112 + 7m + (-11 * -5 + 6m * -5) = 35 -112 + 7m + (55 + -30m) = 35 Reorder the terms: -112 + 55 + 7m + -30m = 35 Combine like terms: -112 + 55 = -57 -57 + 7m + -30m = 35 Combine like terms: 7m + -30m = -23m -57 + -23m = 35 Solving -57 + -23m = 35 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -23m = 35 + 57 Combine like terms: -57 + 57 = 0 0 + -23m = 35 + 57 -23m = 35 + 57 Combine like terms: 35 + 57 = 92 -23m = 92 Divide each side by '-23'. m = -4 Simplifying m = -4
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