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Simplifying 6(r + -7) + 4 = 7(r + 3) + -24 Reorder the terms: 6(-7 + r) + 4 = 7(r + 3) + -24 (-7 * 6 + r * 6) + 4 = 7(r + 3) + -24 (-42 + 6r) + 4 = 7(r + 3) + -24 Reorder the terms: -42 + 4 + 6r = 7(r + 3) + -24 Combine like terms: -42 + 4 = -38 -38 + 6r = 7(r + 3) + -24 Reorder the terms: -38 + 6r = 7(3 + r) + -24 -38 + 6r = (3 * 7 + r * 7) + -24 -38 + 6r = (21 + 7r) + -24 Reorder the terms: -38 + 6r = 21 + -24 + 7r Combine like terms: 21 + -24 = -3 -38 + 6r = -3 + 7r Solving -38 + 6r = -3 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -38 + 6r + -7r = -3 + 7r + -7r Combine like terms: 6r + -7r = -1r -38 + -1r = -3 + 7r + -7r Combine like terms: 7r + -7r = 0 -38 + -1r = -3 + 0 -38 + -1r = -3 Add '38' to each side of the equation. -38 + 38 + -1r = -3 + 38 Combine like terms: -38 + 38 = 0 0 + -1r = -3 + 38 -1r = -3 + 38 Combine like terms: -3 + 38 = 35 -1r = 35 Divide each side by '-1'. r = -35 Simplifying r = -35
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