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Simplifying 4(b + -10) + -10 = -5(-3b + -11) + -6 Reorder the terms: 4(-10 + b) + -10 = -5(-3b + -11) + -6 (-10 * 4 + b * 4) + -10 = -5(-3b + -11) + -6 (-40 + 4b) + -10 = -5(-3b + -11) + -6 Reorder the terms: -40 + -10 + 4b = -5(-3b + -11) + -6 Combine like terms: -40 + -10 = -50 -50 + 4b = -5(-3b + -11) + -6 Reorder the terms: -50 + 4b = -5(-11 + -3b) + -6 -50 + 4b = (-11 * -5 + -3b * -5) + -6 -50 + 4b = (55 + 15b) + -6 Reorder the terms: -50 + 4b = 55 + -6 + 15b Combine like terms: 55 + -6 = 49 -50 + 4b = 49 + 15b Solving -50 + 4b = 49 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. -50 + 4b + -15b = 49 + 15b + -15b Combine like terms: 4b + -15b = -11b -50 + -11b = 49 + 15b + -15b Combine like terms: 15b + -15b = 0 -50 + -11b = 49 + 0 -50 + -11b = 49 Add '50' to each side of the equation. -50 + 50 + -11b = 49 + 50 Combine like terms: -50 + 50 = 0 0 + -11b = 49 + 50 -11b = 49 + 50 Combine like terms: 49 + 50 = 99 -11b = 99 Divide each side by '-11'. b = -9 Simplifying b = -9
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