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Simplifying 2(2.5b + -9) + 6b = (-7) Reorder the terms: 2(-9 + 2.5b) + 6b = (-7) (-9 * 2 + 2.5b * 2) + 6b = (-7) (-18 + 5b) + 6b = (-7) Combine like terms: 5b + 6b = 11b -18 + 11b = (-7) -18 + 11b = -7 Solving -18 + 11b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 11b = -7 + 18 Combine like terms: -18 + 18 = 0 0 + 11b = -7 + 18 11b = -7 + 18 Combine like terms: -7 + 18 = 11 11b = 11 Divide each side by '11'. b = 1 Simplifying b = 1
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