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Simplifying -6(3m + 7) + 3(m + -7) = 0 Reorder the terms: -6(7 + 3m) + 3(m + -7) = 0 (7 * -6 + 3m * -6) + 3(m + -7) = 0 (-42 + -18m) + 3(m + -7) = 0 Reorder the terms: -42 + -18m + 3(-7 + m) = 0 -42 + -18m + (-7 * 3 + m * 3) = 0 -42 + -18m + (-21 + 3m) = 0 Reorder the terms: -42 + -21 + -18m + 3m = 0 Combine like terms: -42 + -21 = -63 -63 + -18m + 3m = 0 Combine like terms: -18m + 3m = -15m -63 + -15m = 0 Solving -63 + -15m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -15m = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -15m = 0 + 63 -15m = 0 + 63 Combine like terms: 0 + 63 = 63 -15m = 63 Divide each side by '-15'. m = -4.2 Simplifying m = -4.2
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