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Simplifying 2(m + -21) + 4(m + -4) = 38 Reorder the terms: 2(-21 + m) + 4(m + -4) = 38 (-21 * 2 + m * 2) + 4(m + -4) = 38 (-42 + 2m) + 4(m + -4) = 38 Reorder the terms: -42 + 2m + 4(-4 + m) = 38 -42 + 2m + (-4 * 4 + m * 4) = 38 -42 + 2m + (-16 + 4m) = 38 Reorder the terms: -42 + -16 + 2m + 4m = 38 Combine like terms: -42 + -16 = -58 -58 + 2m + 4m = 38 Combine like terms: 2m + 4m = 6m -58 + 6m = 38 Solving -58 + 6m = 38 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 6m = 38 + 58 Combine like terms: -58 + 58 = 0 0 + 6m = 38 + 58 6m = 38 + 58 Combine like terms: 38 + 58 = 96 6m = 96 Divide each side by '6'. m = 16 Simplifying m = 16
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