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Simplifying 2a + -7 + -5(a + 1) = -1(-4a + 7) Reorder the terms: 2a + -7 + -5(1 + a) = -1(-4a + 7) 2a + -7 + (1 * -5 + a * -5) = -1(-4a + 7) 2a + -7 + (-5 + -5a) = -1(-4a + 7) Reorder the terms: -7 + -5 + 2a + -5a = -1(-4a + 7) Combine like terms: -7 + -5 = -12 -12 + 2a + -5a = -1(-4a + 7) Combine like terms: 2a + -5a = -3a -12 + -3a = -1(-4a + 7) Reorder the terms: -12 + -3a = -1(7 + -4a) -12 + -3a = (7 * -1 + -4a * -1) -12 + -3a = (-7 + 4a) Solving -12 + -3a = -7 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -12 + -3a + -4a = -7 + 4a + -4a Combine like terms: -3a + -4a = -7a -12 + -7a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 -12 + -7a = -7 + 0 -12 + -7a = -7 Add '12' to each side of the equation. -12 + 12 + -7a = -7 + 12 Combine like terms: -12 + 12 = 0 0 + -7a = -7 + 12 -7a = -7 + 12 Combine like terms: -7 + 12 = 5 -7a = 5 Divide each side by '-7'. a = -0.7142857143 Simplifying a = -0.7142857143
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