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Simplifying -10(r + 4) + -4 = 4r + 5(-6 + -3r) Reorder the terms: -10(4 + r) + -4 = 4r + 5(-6 + -3r) (4 * -10 + r * -10) + -4 = 4r + 5(-6 + -3r) (-40 + -10r) + -4 = 4r + 5(-6 + -3r) Reorder the terms: -40 + -4 + -10r = 4r + 5(-6 + -3r) Combine like terms: -40 + -4 = -44 -44 + -10r = 4r + 5(-6 + -3r) -44 + -10r = 4r + (-6 * 5 + -3r * 5) -44 + -10r = 4r + (-30 + -15r) Reorder the terms: -44 + -10r = -30 + 4r + -15r Combine like terms: 4r + -15r = -11r -44 + -10r = -30 + -11r Solving -44 + -10r = -30 + -11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11r' to each side of the equation. -44 + -10r + 11r = -30 + -11r + 11r Combine like terms: -10r + 11r = 1r -44 + 1r = -30 + -11r + 11r Combine like terms: -11r + 11r = 0 -44 + 1r = -30 + 0 -44 + 1r = -30 Add '44' to each side of the equation. -44 + 44 + 1r = -30 + 44 Combine like terms: -44 + 44 = 0 0 + 1r = -30 + 44 1r = -30 + 44 Combine like terms: -30 + 44 = 14 1r = 14 Divide each side by '1'. r = 14 Simplifying r = 14
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