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Simplifying 4(m + -1) + 2m = m + -3(m + -7) Reorder the terms: 4(-1 + m) + 2m = m + -3(m + -7) (-1 * 4 + m * 4) + 2m = m + -3(m + -7) (-4 + 4m) + 2m = m + -3(m + -7) Combine like terms: 4m + 2m = 6m -4 + 6m = m + -3(m + -7) Reorder the terms: -4 + 6m = m + -3(-7 + m) -4 + 6m = m + (-7 * -3 + m * -3) -4 + 6m = m + (21 + -3m) Reorder the terms: -4 + 6m = 21 + m + -3m Combine like terms: m + -3m = -2m -4 + 6m = 21 + -2m Solving -4 + 6m = 21 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -4 + 6m + 2m = 21 + -2m + 2m Combine like terms: 6m + 2m = 8m -4 + 8m = 21 + -2m + 2m Combine like terms: -2m + 2m = 0 -4 + 8m = 21 + 0 -4 + 8m = 21 Add '4' to each side of the equation. -4 + 4 + 8m = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 8m = 21 + 4 8m = 21 + 4 Combine like terms: 21 + 4 = 25 8m = 25 Divide each side by '8'. m = 3.125 Simplifying m = 3.125
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