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Simplifying 2(v + -3) + -7 = -3(-5v + 1) + -5u Reorder the terms: 2(-3 + v) + -7 = -3(-5v + 1) + -5u (-3 * 2 + v * 2) + -7 = -3(-5v + 1) + -5u (-6 + 2v) + -7 = -3(-5v + 1) + -5u Reorder the terms: -6 + -7 + 2v = -3(-5v + 1) + -5u Combine like terms: -6 + -7 = -13 -13 + 2v = -3(-5v + 1) + -5u Reorder the terms: -13 + 2v = -3(1 + -5v) + -5u -13 + 2v = (1 * -3 + -5v * -3) + -5u -13 + 2v = (-3 + 15v) + -5u Reorder the terms: -13 + 2v = -3 + -5u + 15v Solving -13 + 2v = -3 + -5u + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -13 + 2v + -15v = -3 + -5u + 15v + -15v Combine like terms: 2v + -15v = -13v -13 + -13v = -3 + -5u + 15v + -15v Combine like terms: 15v + -15v = 0 -13 + -13v = -3 + -5u + 0 -13 + -13v = -3 + -5u Add '13' to each side of the equation. -13 + 13 + -13v = -3 + 13 + -5u Combine like terms: -13 + 13 = 0 0 + -13v = -3 + 13 + -5u -13v = -3 + 13 + -5u Combine like terms: -3 + 13 = 10 -13v = 10 + -5u Divide each side by '-13'. v = -0.7692307692 + 0.3846153846u Simplifying v = -0.7692307692 + 0.3846153846u
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