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Simplifying 4(d + -7) = 2(3x) + 6 Reorder the terms: 4(-7 + d) = 2(3x) + 6 (-7 * 4 + d * 4) = 2(3x) + 6 (-28 + 4d) = 2(3x) + 6 Remove parenthesis around (3x) -28 + 4d = 2 * 3x + 6 Multiply 2 * 3 -28 + 4d = 6x + 6 Reorder the terms: -28 + 4d = 6 + 6x Solving -28 + 4d = 6 + 6x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 4d = 6 + 28 + 6x Combine like terms: -28 + 28 = 0 0 + 4d = 6 + 28 + 6x 4d = 6 + 28 + 6x Combine like terms: 6 + 28 = 34 4d = 34 + 6x Divide each side by '4'. d = 8.5 + 1.5x Simplifying d = 8.5 + 1.5x
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