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Simplifying 180 = m + (m + -40) + (m + 10) Reorder the terms: 180 = m + (-40 + m) + (m + 10) Remove parenthesis around (-40 + m) 180 = m + -40 + m + (m + 10) Reorder the terms: 180 = m + -40 + m + (10 + m) Remove parenthesis around (10 + m) 180 = m + -40 + m + 10 + m Reorder the terms: 180 = -40 + 10 + m + m + m Combine like terms: -40 + 10 = -30 180 = -30 + m + m + m Combine like terms: m + m = 2m 180 = -30 + 2m + m Combine like terms: 2m + m = 3m 180 = -30 + 3m Solving 180 = -30 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 180 + -3m = -30 + 3m + -3m Combine like terms: 3m + -3m = 0 180 + -3m = -30 + 0 180 + -3m = -30 Add '-180' to each side of the equation. 180 + -180 + -3m = -30 + -180 Combine like terms: 180 + -180 = 0 0 + -3m = -30 + -180 -3m = -30 + -180 Combine like terms: -30 + -180 = -210 -3m = -210 Divide each side by '-3'. m = 70 Simplifying m = 70
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