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Simplifying -33 = -6 + 7(d + -8) Reorder the terms: -33 = -6 + 7(-8 + d) -33 = -6 + (-8 * 7 + d * 7) -33 = -6 + (-56 + 7d) Combine like terms: -6 + -56 = -62 -33 = -62 + 7d Solving -33 = -62 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -33 + -7d = -62 + 7d + -7d Combine like terms: 7d + -7d = 0 -33 + -7d = -62 + 0 -33 + -7d = -62 Add '33' to each side of the equation. -33 + 33 + -7d = -62 + 33 Combine like terms: -33 + 33 = 0 0 + -7d = -62 + 33 -7d = -62 + 33 Combine like terms: -62 + 33 = -29 -7d = -29 Divide each side by '-7'. d = 4.142857143 Simplifying d = 4.142857143
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