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Simplifying 6m + -22 = -7(7 + 3m) Reorder the terms: -22 + 6m = -7(7 + 3m) -22 + 6m = (7 * -7 + 3m * -7) -22 + 6m = (-49 + -21m) Solving -22 + 6m = -49 + -21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21m' to each side of the equation. -22 + 6m + 21m = -49 + -21m + 21m Combine like terms: 6m + 21m = 27m -22 + 27m = -49 + -21m + 21m Combine like terms: -21m + 21m = 0 -22 + 27m = -49 + 0 -22 + 27m = -49 Add '22' to each side of the equation. -22 + 22 + 27m = -49 + 22 Combine like terms: -22 + 22 = 0 0 + 27m = -49 + 22 27m = -49 + 22 Combine like terms: -49 + 22 = -27 27m = -27 Divide each side by '27'. m = -1 Simplifying m = -1
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