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Simplifying 10m + -10m + -18 = 9m + -5(2m + 1) Reorder the terms: -18 + 10m + -10m = 9m + -5(2m + 1) Combine like terms: 10m + -10m = 0 -18 + 0 = 9m + -5(2m + 1) -18 = 9m + -5(2m + 1) Reorder the terms: -18 = 9m + -5(1 + 2m) -18 = 9m + (1 * -5 + 2m * -5) -18 = 9m + (-5 + -10m) Reorder the terms: -18 = -5 + 9m + -10m Combine like terms: 9m + -10m = -1m -18 = -5 + -1m Solving -18 = -5 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -18 + m = -5 + -1m + m Combine like terms: -1m + m = 0 -18 + m = -5 + 0 -18 + m = -5 Add '18' to each side of the equation. -18 + 18 + m = -5 + 18 Combine like terms: -18 + 18 = 0 0 + m = -5 + 18 m = -5 + 18 Combine like terms: -5 + 18 = 13 m = 13 Simplifying m = 13
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