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Simplifying 5(d + -10) = d + 4(d + -20) + 30 Reorder the terms: 5(-10 + d) = d + 4(d + -20) + 30 (-10 * 5 + d * 5) = d + 4(d + -20) + 30 (-50 + 5d) = d + 4(d + -20) + 30 Reorder the terms: -50 + 5d = d + 4(-20 + d) + 30 -50 + 5d = d + (-20 * 4 + d * 4) + 30 -50 + 5d = d + (-80 + 4d) + 30 Reorder the terms: -50 + 5d = -80 + 30 + d + 4d Combine like terms: -80 + 30 = -50 -50 + 5d = -50 + d + 4d Combine like terms: d + 4d = 5d -50 + 5d = -50 + 5d Add '50' to each side of the equation. -50 + 50 + 5d = -50 + 50 + 5d Combine like terms: -50 + 50 = 0 0 + 5d = -50 + 50 + 5d 5d = -50 + 50 + 5d Combine like terms: -50 + 50 = 0 5d = 0 + 5d 5d = 5d Add '-5d' to each side of the equation. 5d + -5d = 5d + -5d Combine like terms: 5d + -5d = 0 0 = 5d + -5d Combine like terms: 5d + -5d = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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