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Simplifying 4(r + -6) + 3 = 5(r + 3) + -22 Reorder the terms: 4(-6 + r) + 3 = 5(r + 3) + -22 (-6 * 4 + r * 4) + 3 = 5(r + 3) + -22 (-24 + 4r) + 3 = 5(r + 3) + -22 Reorder the terms: -24 + 3 + 4r = 5(r + 3) + -22 Combine like terms: -24 + 3 = -21 -21 + 4r = 5(r + 3) + -22 Reorder the terms: -21 + 4r = 5(3 + r) + -22 -21 + 4r = (3 * 5 + r * 5) + -22 -21 + 4r = (15 + 5r) + -22 Reorder the terms: -21 + 4r = 15 + -22 + 5r Combine like terms: 15 + -22 = -7 -21 + 4r = -7 + 5r Solving -21 + 4r = -7 + 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. -21 + 4r + -5r = -7 + 5r + -5r Combine like terms: 4r + -5r = -1r -21 + -1r = -7 + 5r + -5r Combine like terms: 5r + -5r = 0 -21 + -1r = -7 + 0 -21 + -1r = -7 Add '21' to each side of the equation. -21 + 21 + -1r = -7 + 21 Combine like terms: -21 + 21 = 0 0 + -1r = -7 + 21 -1r = -7 + 21 Combine like terms: -7 + 21 = 14 -1r = 14 Divide each side by '-1'. r = -14 Simplifying r = -14
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