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Simplifying 2 + 3(r + -7) + -7r = 4(r + -2) + 8 Reorder the terms: 2 + 3(-7 + r) + -7r = 4(r + -2) + 8 2 + (-7 * 3 + r * 3) + -7r = 4(r + -2) + 8 2 + (-21 + 3r) + -7r = 4(r + -2) + 8 Combine like terms: 2 + -21 = -19 -19 + 3r + -7r = 4(r + -2) + 8 Combine like terms: 3r + -7r = -4r -19 + -4r = 4(r + -2) + 8 Reorder the terms: -19 + -4r = 4(-2 + r) + 8 -19 + -4r = (-2 * 4 + r * 4) + 8 -19 + -4r = (-8 + 4r) + 8 Reorder the terms: -19 + -4r = -8 + 8 + 4r Combine like terms: -8 + 8 = 0 -19 + -4r = 0 + 4r -19 + -4r = 4r Solving -19 + -4r = 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. -19 + -4r + -4r = 4r + -4r Combine like terms: -4r + -4r = -8r -19 + -8r = 4r + -4r Combine like terms: 4r + -4r = 0 -19 + -8r = 0 Add '19' to each side of the equation. -19 + 19 + -8r = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -8r = 0 + 19 -8r = 0 + 19 Combine like terms: 0 + 19 = 19 -8r = 19 Divide each side by '-8'. r = -2.375 Simplifying r = -2.375
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