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Simplifying 10(2r + -1) + -8 = 2r + -10(5 + -2r) Reorder the terms: 10(-1 + 2r) + -8 = 2r + -10(5 + -2r) (-1 * 10 + 2r * 10) + -8 = 2r + -10(5 + -2r) (-10 + 20r) + -8 = 2r + -10(5 + -2r) Reorder the terms: -10 + -8 + 20r = 2r + -10(5 + -2r) Combine like terms: -10 + -8 = -18 -18 + 20r = 2r + -10(5 + -2r) -18 + 20r = 2r + (5 * -10 + -2r * -10) -18 + 20r = 2r + (-50 + 20r) Reorder the terms: -18 + 20r = -50 + 2r + 20r Combine like terms: 2r + 20r = 22r -18 + 20r = -50 + 22r Solving -18 + 20r = -50 + 22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22r' to each side of the equation. -18 + 20r + -22r = -50 + 22r + -22r Combine like terms: 20r + -22r = -2r -18 + -2r = -50 + 22r + -22r Combine like terms: 22r + -22r = 0 -18 + -2r = -50 + 0 -18 + -2r = -50 Add '18' to each side of the equation. -18 + 18 + -2r = -50 + 18 Combine like terms: -18 + 18 = 0 0 + -2r = -50 + 18 -2r = -50 + 18 Combine like terms: -50 + 18 = -32 -2r = -32 Divide each side by '-2'. r = 16 Simplifying r = 16
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