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Simplifying 4(3a + -2) + -7(2 + a) = 4(a + -5) Reorder the terms: 4(-2 + 3a) + -7(2 + a) = 4(a + -5) (-2 * 4 + 3a * 4) + -7(2 + a) = 4(a + -5) (-8 + 12a) + -7(2 + a) = 4(a + -5) -8 + 12a + (2 * -7 + a * -7) = 4(a + -5) -8 + 12a + (-14 + -7a) = 4(a + -5) Reorder the terms: -8 + -14 + 12a + -7a = 4(a + -5) Combine like terms: -8 + -14 = -22 -22 + 12a + -7a = 4(a + -5) Combine like terms: 12a + -7a = 5a -22 + 5a = 4(a + -5) Reorder the terms: -22 + 5a = 4(-5 + a) -22 + 5a = (-5 * 4 + a * 4) -22 + 5a = (-20 + 4a) Solving -22 + 5a = -20 + 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. -22 + 5a + -4a = -20 + 4a + -4a Combine like terms: 5a + -4a = 1a -22 + 1a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 -22 + 1a = -20 + 0 -22 + 1a = -20 Add '22' to each side of the equation. -22 + 22 + 1a = -20 + 22 Combine like terms: -22 + 22 = 0 0 + 1a = -20 + 22 1a = -20 + 22 Combine like terms: -20 + 22 = 2 1a = 2 Divide each side by '1'. a = 2 Simplifying a = 2
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