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Simplifying 5(d + e) = 15 + 10d (d * 5 + e * 5) = 15 + 10d (5d + 5e) = 15 + 10d Solving 5d + 5e = 15 + 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. 5d + -10d + 5e = 15 + 10d + -10d Combine like terms: 5d + -10d = -5d -5d + 5e = 15 + 10d + -10d Combine like terms: 10d + -10d = 0 -5d + 5e = 15 + 0 -5d + 5e = 15 Add '-5e' to each side of the equation. -5d + 5e + -5e = 15 + -5e Combine like terms: 5e + -5e = 0 -5d + 0 = 15 + -5e -5d = 15 + -5e Divide each side by '-5'. d = -3 + e Simplifying d = -3 + e
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