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Simplifying 6d + -13 = 10d + -45 Reorder the terms: -13 + 6d = 10d + -45 Reorder the terms: -13 + 6d = -45 + 10d Solving -13 + 6d = -45 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -13 + 6d + -10d = -45 + 10d + -10d Combine like terms: 6d + -10d = -4d -13 + -4d = -45 + 10d + -10d Combine like terms: 10d + -10d = 0 -13 + -4d = -45 + 0 -13 + -4d = -45 Add '13' to each side of the equation. -13 + 13 + -4d = -45 + 13 Combine like terms: -13 + 13 = 0 0 + -4d = -45 + 13 -4d = -45 + 13 Combine like terms: -45 + 13 = -32 -4d = -32 Divide each side by '-4'. d = 8 Simplifying d = 8
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