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Simplifying 7(m + -5) + 12 = m + -2 Reorder the terms: 7(-5 + m) + 12 = m + -2 (-5 * 7 + m * 7) + 12 = m + -2 (-35 + 7m) + 12 = m + -2 Reorder the terms: -35 + 12 + 7m = m + -2 Combine like terms: -35 + 12 = -23 -23 + 7m = m + -2 Reorder the terms: -23 + 7m = -2 + m Solving -23 + 7m = -2 + 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. -23 + 7m + -1m = -2 + m + -1m Combine like terms: 7m + -1m = 6m -23 + 6m = -2 + m + -1m Combine like terms: m + -1m = 0 -23 + 6m = -2 + 0 -23 + 6m = -2 Add '23' to each side of the equation. -23 + 23 + 6m = -2 + 23 Combine like terms: -23 + 23 = 0 0 + 6m = -2 + 23 6m = -2 + 23 Combine like terms: -2 + 23 = 21 6m = 21 Divide each side by '6'. m = 3.5 Simplifying m = 3.5
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