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Simplifying 3(2d) + -1 = 4(2d + -3) + -3 Remove parenthesis around (2d) 3 * 2d + -1 = 4(2d + -3) + -3 Multiply 3 * 2 6d + -1 = 4(2d + -3) + -3 Reorder the terms: -1 + 6d = 4(2d + -3) + -3 Reorder the terms: -1 + 6d = 4(-3 + 2d) + -3 -1 + 6d = (-3 * 4 + 2d * 4) + -3 -1 + 6d = (-12 + 8d) + -3 Reorder the terms: -1 + 6d = -12 + -3 + 8d Combine like terms: -12 + -3 = -15 -1 + 6d = -15 + 8d Solving -1 + 6d = -15 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -1 + 6d + -8d = -15 + 8d + -8d Combine like terms: 6d + -8d = -2d -1 + -2d = -15 + 8d + -8d Combine like terms: 8d + -8d = 0 -1 + -2d = -15 + 0 -1 + -2d = -15 Add '1' to each side of the equation. -1 + 1 + -2d = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -2d = -15 + 1 -2d = -15 + 1 Combine like terms: -15 + 1 = -14 -2d = -14 Divide each side by '-2'. d = 7 Simplifying d = 7
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