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Simplifying 4(m + -2) + -1(m + -1) = m + 3 Reorder the terms: 4(-2 + m) + -1(m + -1) = m + 3 (-2 * 4 + m * 4) + -1(m + -1) = m + 3 (-8 + 4m) + -1(m + -1) = m + 3 Reorder the terms: -8 + 4m + -1(-1 + m) = m + 3 -8 + 4m + (-1 * -1 + m * -1) = m + 3 -8 + 4m + (1 + -1m) = m + 3 Reorder the terms: -8 + 1 + 4m + -1m = m + 3 Combine like terms: -8 + 1 = -7 -7 + 4m + -1m = m + 3 Combine like terms: 4m + -1m = 3m -7 + 3m = m + 3 Reorder the terms: -7 + 3m = 3 + m Solving -7 + 3m = 3 + 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. -7 + 3m + -1m = 3 + m + -1m Combine like terms: 3m + -1m = 2m -7 + 2m = 3 + m + -1m Combine like terms: m + -1m = 0 -7 + 2m = 3 + 0 -7 + 2m = 3 Add '7' to each side of the equation. -7 + 7 + 2m = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2m = 3 + 7 2m = 3 + 7 Combine like terms: 3 + 7 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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