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Simplifying 5(2d + -3) + -7 = 4 + -1(d + -7) Reorder the terms: 5(-3 + 2d) + -7 = 4 + -1(d + -7) (-3 * 5 + 2d * 5) + -7 = 4 + -1(d + -7) (-15 + 10d) + -7 = 4 + -1(d + -7) Reorder the terms: -15 + -7 + 10d = 4 + -1(d + -7) Combine like terms: -15 + -7 = -22 -22 + 10d = 4 + -1(d + -7) Reorder the terms: -22 + 10d = 4 + -1(-7 + d) -22 + 10d = 4 + (-7 * -1 + d * -1) -22 + 10d = 4 + (7 + -1d) Combine like terms: 4 + 7 = 11 -22 + 10d = 11 + -1d Solving -22 + 10d = 11 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -22 + 10d + d = 11 + -1d + d Combine like terms: 10d + d = 11d -22 + 11d = 11 + -1d + d Combine like terms: -1d + d = 0 -22 + 11d = 11 + 0 -22 + 11d = 11 Add '22' to each side of the equation. -22 + 22 + 11d = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 11d = 11 + 22 11d = 11 + 22 Combine like terms: 11 + 22 = 33 11d = 33 Divide each side by '11'. d = 3 Simplifying d = 3
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