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Simplifying 21 + -4m = -7(m + -6) Reorder the terms: 21 + -4m = -7(-6 + m) 21 + -4m = (-6 * -7 + m * -7) 21 + -4m = (42 + -7m) Solving 21 + -4m = 42 + -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. 21 + -4m + 7m = 42 + -7m + 7m Combine like terms: -4m + 7m = 3m 21 + 3m = 42 + -7m + 7m Combine like terms: -7m + 7m = 0 21 + 3m = 42 + 0 21 + 3m = 42 Add '-21' to each side of the equation. 21 + -21 + 3m = 42 + -21 Combine like terms: 21 + -21 = 0 0 + 3m = 42 + -21 3m = 42 + -21 Combine like terms: 42 + -21 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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