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Simplifying 11 + -1(m + -5) + -6m + 8 = m + -16 Reorder the terms: 11 + -1(-5 + m) + -6m + 8 = m + -16 11 + (-5 * -1 + m * -1) + -6m + 8 = m + -16 11 + (5 + -1m) + -6m + 8 = m + -16 Reorder the terms: 11 + 5 + 8 + -1m + -6m = m + -16 Combine like terms: 11 + 5 = 16 16 + 8 + -1m + -6m = m + -16 Combine like terms: 16 + 8 = 24 24 + -1m + -6m = m + -16 Combine like terms: -1m + -6m = -7m 24 + -7m = m + -16 Reorder the terms: 24 + -7m = -16 + m Solving 24 + -7m = -16 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 24 + -7m + -1m = -16 + m + -1m Combine like terms: -7m + -1m = -8m 24 + -8m = -16 + m + -1m Combine like terms: m + -1m = 0 24 + -8m = -16 + 0 24 + -8m = -16 Add '-24' to each side of the equation. 24 + -24 + -8m = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -8m = -16 + -24 -8m = -16 + -24 Combine like terms: -16 + -24 = -40 -8m = -40 Divide each side by '-8'. m = 5 Simplifying m = 5
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