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Simplifying 4.5 + -15(6m + 2) = 6 Reorder the terms: 4.5 + -15(2 + 6m) = 6 4.5 + (2 * -15 + 6m * -15) = 6 4.5 + (-30 + -90m) = 6 Combine like terms: 4.5 + -30 = -25.5 -25.5 + -90m = 6 Solving -25.5 + -90m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25.5' to each side of the equation. -25.5 + 25.5 + -90m = 6 + 25.5 Combine like terms: -25.5 + 25.5 = 0.0 0.0 + -90m = 6 + 25.5 -90m = 6 + 25.5 Combine like terms: 6 + 25.5 = 31.5 -90m = 31.5 Divide each side by '-90'. m = -0.35 Simplifying m = -0.35
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