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Simplifying 5(m + -8) = -28 + 7m Reorder the terms: 5(-8 + m) = -28 + 7m (-8 * 5 + m * 5) = -28 + 7m (-40 + 5m) = -28 + 7m Solving -40 + 5m = -28 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -40 + 5m + -7m = -28 + 7m + -7m Combine like terms: 5m + -7m = -2m -40 + -2m = -28 + 7m + -7m Combine like terms: 7m + -7m = 0 -40 + -2m = -28 + 0 -40 + -2m = -28 Add '40' to each side of the equation. -40 + 40 + -2m = -28 + 40 Combine like terms: -40 + 40 = 0 0 + -2m = -28 + 40 -2m = -28 + 40 Combine like terms: -28 + 40 = 12 -2m = 12 Divide each side by '-2'. m = -6 Simplifying m = -6
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