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Simplifying 6(3d + 4) = 10(2d) + 6 Reorder the terms: 6(4 + 3d) = 10(2d) + 6 (4 * 6 + 3d * 6) = 10(2d) + 6 (24 + 18d) = 10(2d) + 6 Remove parenthesis around (2d) 24 + 18d = 10 * 2d + 6 Multiply 10 * 2 24 + 18d = 20d + 6 Reorder the terms: 24 + 18d = 6 + 20d Solving 24 + 18d = 6 + 20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20d' to each side of the equation. 24 + 18d + -20d = 6 + 20d + -20d Combine like terms: 18d + -20d = -2d 24 + -2d = 6 + 20d + -20d Combine like terms: 20d + -20d = 0 24 + -2d = 6 + 0 24 + -2d = 6 Add '-24' to each side of the equation. 24 + -24 + -2d = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -2d = 6 + -24 -2d = 6 + -24 Combine like terms: 6 + -24 = -18 -2d = -18 Divide each side by '-2'. d = 9 Simplifying d = 9
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