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Simplifying 6(r + -7) + 4 = 7(r + 2) + -25 Reorder the terms: 6(-7 + r) + 4 = 7(r + 2) + -25 (-7 * 6 + r * 6) + 4 = 7(r + 2) + -25 (-42 + 6r) + 4 = 7(r + 2) + -25 Reorder the terms: -42 + 4 + 6r = 7(r + 2) + -25 Combine like terms: -42 + 4 = -38 -38 + 6r = 7(r + 2) + -25 Reorder the terms: -38 + 6r = 7(2 + r) + -25 -38 + 6r = (2 * 7 + r * 7) + -25 -38 + 6r = (14 + 7r) + -25 Reorder the terms: -38 + 6r = 14 + -25 + 7r Combine like terms: 14 + -25 = -11 -38 + 6r = -11 + 7r Solving -38 + 6r = -11 + 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 = -11 + 7r + -7r Combine like terms: 6r + -7r = -1r -38 + -1r = -11 + 7r + -7r Combine like terms: 7r + -7r = 0 -38 + -1r = -11 + 0 -38 + -1r = -11 Add '38' to each side of the equation. -38 + 38 + -1r = -11 + 38 Combine like terms: -38 + 38 = 0 0 + -1r = -11 + 38 -1r = -11 + 38 Combine like terms: -11 + 38 = 27 -1r = 27 Divide each side by '-1'. r = -27 Simplifying r = -27
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