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Simplifying -5(2r + 4) + 4(r + -7) = 0 Reorder the terms: -5(4 + 2r) + 4(r + -7) = 0 (4 * -5 + 2r * -5) + 4(r + -7) = 0 (-20 + -10r) + 4(r + -7) = 0 Reorder the terms: -20 + -10r + 4(-7 + r) = 0 -20 + -10r + (-7 * 4 + r * 4) = 0 -20 + -10r + (-28 + 4r) = 0 Reorder the terms: -20 + -28 + -10r + 4r = 0 Combine like terms: -20 + -28 = -48 -48 + -10r + 4r = 0 Combine like terms: -10r + 4r = -6r -48 + -6r = 0 Solving -48 + -6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -6r = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -6r = 0 + 48 -6r = 0 + 48 Combine like terms: 0 + 48 = 48 -6r = 48 Divide each side by '-6'. r = -8 Simplifying r = -8
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