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Simplifying 3[m + -3] + -4[m + 3] = 0 Reorder the terms: 3[-3 + m] + -4[m + 3] = 0 [-3 * 3 + m * 3] + -4[m + 3] = 0 [-9 + 3m] + -4[m + 3] = 0 Reorder the terms: -9 + 3m + -4[3 + m] = 0 -9 + 3m + [3 * -4 + m * -4] = 0 -9 + 3m + [-12 + -4m] = 0 Reorder the terms: -9 + -12 + 3m + -4m = 0 Combine like terms: -9 + -12 = -21 -21 + 3m + -4m = 0 Combine like terms: 3m + -4m = -1m -21 + -1m = 0 Solving -21 + -1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1m = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1m = 0 + 21 -1m = 0 + 21 Combine like terms: 0 + 21 = 21 -1m = 21 Divide each side by '-1'. m = -21 Simplifying m = -21
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