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Simplifying 4(r + -8) + 3 = 5(r + 3) + -78 Reorder the terms: 4(-8 + r) + 3 = 5(r + 3) + -78 (-8 * 4 + r * 4) + 3 = 5(r + 3) + -78 (-32 + 4r) + 3 = 5(r + 3) + -78 Reorder the terms: -32 + 3 + 4r = 5(r + 3) + -78 Combine like terms: -32 + 3 = -29 -29 + 4r = 5(r + 3) + -78 Reorder the terms: -29 + 4r = 5(3 + r) + -78 -29 + 4r = (3 * 5 + r * 5) + -78 -29 + 4r = (15 + 5r) + -78 Reorder the terms: -29 + 4r = 15 + -78 + 5r Combine like terms: 15 + -78 = -63 -29 + 4r = -63 + 5r Solving -29 + 4r = -63 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -29 + 4r + -5r = -63 + 5r + -5r Combine like terms: 4r + -5r = -1r -29 + -1r = -63 + 5r + -5r Combine like terms: 5r + -5r = 0 -29 + -1r = -63 + 0 -29 + -1r = -63 Add '29' to each side of the equation. -29 + 29 + -1r = -63 + 29 Combine like terms: -29 + 29 = 0 0 + -1r = -63 + 29 -1r = -63 + 29 Combine like terms: -63 + 29 = -34 -1r = -34 Divide each side by '-1'. r = 34 Simplifying r = 34
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