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Simplifying 2(r + 5) + -5r = -4(r + 3) + 22 Reorder the terms: 2(5 + r) + -5r = -4(r + 3) + 22 (5 * 2 + r * 2) + -5r = -4(r + 3) + 22 (10 + 2r) + -5r = -4(r + 3) + 22 Combine like terms: 2r + -5r = -3r 10 + -3r = -4(r + 3) + 22 Reorder the terms: 10 + -3r = -4(3 + r) + 22 10 + -3r = (3 * -4 + r * -4) + 22 10 + -3r = (-12 + -4r) + 22 Reorder the terms: 10 + -3r = -12 + 22 + -4r Combine like terms: -12 + 22 = 10 10 + -3r = 10 + -4r Add '-10' to each side of the equation. 10 + -10 + -3r = 10 + -10 + -4r Combine like terms: 10 + -10 = 0 0 + -3r = 10 + -10 + -4r -3r = 10 + -10 + -4r Combine like terms: 10 + -10 = 0 -3r = 0 + -4r -3r = -4r Solving -3r = -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -3r + 4r = -4r + 4r Combine like terms: -3r + 4r = 1r 1r = -4r + 4r Combine like terms: -4r + 4r = 0 1r = 0 Divide each side by '1'. r = 0 Simplifying r = 0
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