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Simplifying -4(a + 1) + -3 = -7(2a + -3) Reorder the terms: -4(1 + a) + -3 = -7(2a + -3) (1 * -4 + a * -4) + -3 = -7(2a + -3) (-4 + -4a) + -3 = -7(2a + -3) Reorder the terms: -4 + -3 + -4a = -7(2a + -3) Combine like terms: -4 + -3 = -7 -7 + -4a = -7(2a + -3) Reorder the terms: -7 + -4a = -7(-3 + 2a) -7 + -4a = (-3 * -7 + 2a * -7) -7 + -4a = (21 + -14a) Solving -7 + -4a = 21 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -7 + -4a + 14a = 21 + -14a + 14a Combine like terms: -4a + 14a = 10a -7 + 10a = 21 + -14a + 14a Combine like terms: -14a + 14a = 0 -7 + 10a = 21 + 0 -7 + 10a = 21 Add '7' to each side of the equation. -7 + 7 + 10a = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 10a = 21 + 7 10a = 21 + 7 Combine like terms: 21 + 7 = 28 10a = 28 Divide each side by '10'. a = 2.8 Simplifying a = 2.8
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