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Simplifying 4(2b + -6) + 11 = 3(t + -7) + 6t Reorder the terms: 4(-6 + 2b) + 11 = 3(t + -7) + 6t (-6 * 4 + 2b * 4) + 11 = 3(t + -7) + 6t (-24 + 8b) + 11 = 3(t + -7) + 6t Reorder the terms: -24 + 11 + 8b = 3(t + -7) + 6t Combine like terms: -24 + 11 = -13 -13 + 8b = 3(t + -7) + 6t Reorder the terms: -13 + 8b = 3(-7 + t) + 6t -13 + 8b = (-7 * 3 + t * 3) + 6t -13 + 8b = (-21 + 3t) + 6t Combine like terms: 3t + 6t = 9t -13 + 8b = -21 + 9t Solving -13 + 8b = -21 + 9t Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8b = -21 + 13 + 9t Combine like terms: -13 + 13 = 0 0 + 8b = -21 + 13 + 9t 8b = -21 + 13 + 9t Combine like terms: -21 + 13 = -8 8b = -8 + 9t Divide each side by '8'. b = -1 + 1.125t Simplifying b = -1 + 1.125t
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