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Simplifying 40 + 2m = -8(m + 5) Reorder the terms: 40 + 2m = -8(5 + m) 40 + 2m = (5 * -8 + m * -8) 40 + 2m = (-40 + -8m) Solving 40 + 2m = -40 + -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. 40 + 2m + 8m = -40 + -8m + 8m Combine like terms: 2m + 8m = 10m 40 + 10m = -40 + -8m + 8m Combine like terms: -8m + 8m = 0 40 + 10m = -40 + 0 40 + 10m = -40 Add '-40' to each side of the equation. 40 + -40 + 10m = -40 + -40 Combine like terms: 40 + -40 = 0 0 + 10m = -40 + -40 10m = -40 + -40 Combine like terms: -40 + -40 = -80 10m = -80 Divide each side by '10'. m = -8 Simplifying m = -8
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