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Simplifying 10 + -3(2b + 4) = -4b + -2(5t + -1b) Reorder the terms: 10 + -3(4 + 2b) = -4b + -2(5t + -1b) 10 + (4 * -3 + 2b * -3) = -4b + -2(5t + -1b) 10 + (-12 + -6b) = -4b + -2(5t + -1b) Combine like terms: 10 + -12 = -2 -2 + -6b = -4b + -2(5t + -1b) Reorder the terms: -2 + -6b = -4b + -2(-1b + 5t) -2 + -6b = -4b + (-1b * -2 + 5t * -2) -2 + -6b = -4b + (2b + -10t) Combine like terms: -4b + 2b = -2b -2 + -6b = -2b + -10t Solving -2 + -6b = -2b + -10t Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -2 + -6b + 2b = -2b + 2b + -10t Combine like terms: -6b + 2b = -4b -2 + -4b = -2b + 2b + -10t Combine like terms: -2b + 2b = 0 -2 + -4b = 0 + -10t -2 + -4b = -10t Add '2' to each side of the equation. -2 + 2 + -4b = 2 + -10t Combine like terms: -2 + 2 = 0 0 + -4b = 2 + -10t -4b = 2 + -10t Divide each side by '-4'. b = -0.5 + 2.5t Simplifying b = -0.5 + 2.5t
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