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Simplifying 4 + -8(9r + 2) = -10(9r + -6) Reorder the terms: 4 + -8(2 + 9r) = -10(9r + -6) 4 + (2 * -8 + 9r * -8) = -10(9r + -6) 4 + (-16 + -72r) = -10(9r + -6) Combine like terms: 4 + -16 = -12 -12 + -72r = -10(9r + -6) Reorder the terms: -12 + -72r = -10(-6 + 9r) -12 + -72r = (-6 * -10 + 9r * -10) -12 + -72r = (60 + -90r) Solving -12 + -72r = 60 + -90r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '90r' to each side of the equation. -12 + -72r + 90r = 60 + -90r + 90r Combine like terms: -72r + 90r = 18r -12 + 18r = 60 + -90r + 90r Combine like terms: -90r + 90r = 0 -12 + 18r = 60 + 0 -12 + 18r = 60 Add '12' to each side of the equation. -12 + 12 + 18r = 60 + 12 Combine like terms: -12 + 12 = 0 0 + 18r = 60 + 12 18r = 60 + 12 Combine like terms: 60 + 12 = 72 18r = 72 Divide each side by '18'. r = 4 Simplifying r = 4
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