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Simplifying 11(2m + 2) + -6 = 4m + (3m + -2) Reorder the terms: 11(2 + 2m) + -6 = 4m + (3m + -2) (2 * 11 + 2m * 11) + -6 = 4m + (3m + -2) (22 + 22m) + -6 = 4m + (3m + -2) Reorder the terms: 22 + -6 + 22m = 4m + (3m + -2) Combine like terms: 22 + -6 = 16 16 + 22m = 4m + (3m + -2) Reorder the terms: 16 + 22m = 4m + (-2 + 3m) Remove parenthesis around (-2 + 3m) 16 + 22m = 4m + -2 + 3m Reorder the terms: 16 + 22m = -2 + 4m + 3m Combine like terms: 4m + 3m = 7m 16 + 22m = -2 + 7m Solving 16 + 22m = -2 + 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. 16 + 22m + -7m = -2 + 7m + -7m Combine like terms: 22m + -7m = 15m 16 + 15m = -2 + 7m + -7m Combine like terms: 7m + -7m = 0 16 + 15m = -2 + 0 16 + 15m = -2 Add '-16' to each side of the equation. 16 + -16 + 15m = -2 + -16 Combine like terms: 16 + -16 = 0 0 + 15m = -2 + -16 15m = -2 + -16 Combine like terms: -2 + -16 = -18 15m = -18 Divide each side by '15'. m = -1.2 Simplifying m = -1.2
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