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Simplifying 2(m + -6) + -7(7m + -5) = 23 Reorder the terms: 2(-6 + m) + -7(7m + -5) = 23 (-6 * 2 + m * 2) + -7(7m + -5) = 23 (-12 + 2m) + -7(7m + -5) = 23 Reorder the terms: -12 + 2m + -7(-5 + 7m) = 23 -12 + 2m + (-5 * -7 + 7m * -7) = 23 -12 + 2m + (35 + -49m) = 23 Reorder the terms: -12 + 35 + 2m + -49m = 23 Combine like terms: -12 + 35 = 23 23 + 2m + -49m = 23 Combine like terms: 2m + -49m = -47m 23 + -47m = 23 Add '-23' to each side of the equation. 23 + -23 + -47m = 23 + -23 Combine like terms: 23 + -23 = 0 0 + -47m = 23 + -23 -47m = 23 + -23 Combine like terms: 23 + -23 = 0 -47m = 0 Solving -47m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '-47'. m = 0 Simplifying m = 0
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