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Simplifying -7(6m + 3) + 4 = 33 + 8m Reorder the terms: -7(3 + 6m) + 4 = 33 + 8m (3 * -7 + 6m * -7) + 4 = 33 + 8m (-21 + -42m) + 4 = 33 + 8m Reorder the terms: -21 + 4 + -42m = 33 + 8m Combine like terms: -21 + 4 = -17 -17 + -42m = 33 + 8m Solving -17 + -42m = 33 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -17 + -42m + -8m = 33 + 8m + -8m Combine like terms: -42m + -8m = -50m -17 + -50m = 33 + 8m + -8m Combine like terms: 8m + -8m = 0 -17 + -50m = 33 + 0 -17 + -50m = 33 Add '17' to each side of the equation. -17 + 17 + -50m = 33 + 17 Combine like terms: -17 + 17 = 0 0 + -50m = 33 + 17 -50m = 33 + 17 Combine like terms: 33 + 17 = 50 -50m = 50 Divide each side by '-50'. m = -1 Simplifying m = -1
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