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Simplifying -122 = 6(3 + 4m) + 4 -122 = (3 * 6 + 4m * 6) + 4 -122 = (18 + 24m) + 4 Reorder the terms: -122 = 18 + 4 + 24m Combine like terms: 18 + 4 = 22 -122 = 22 + 24m Solving -122 = 22 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -122 + -24m = 22 + 24m + -24m Combine like terms: 24m + -24m = 0 -122 + -24m = 22 + 0 -122 + -24m = 22 Add '122' to each side of the equation. -122 + 122 + -24m = 22 + 122 Combine like terms: -122 + 122 = 0 0 + -24m = 22 + 122 -24m = 22 + 122 Combine like terms: 22 + 122 = 144 -24m = 144 Divide each side by '-24'. m = -6 Simplifying m = -6
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