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Simplifying -4(a + 8) + -7a = -3a + -4(a + 4) Reorder the terms: -4(8 + a) + -7a = -3a + -4(a + 4) (8 * -4 + a * -4) + -7a = -3a + -4(a + 4) (-32 + -4a) + -7a = -3a + -4(a + 4) Combine like terms: -4a + -7a = -11a -32 + -11a = -3a + -4(a + 4) Reorder the terms: -32 + -11a = -3a + -4(4 + a) -32 + -11a = -3a + (4 * -4 + a * -4) -32 + -11a = -3a + (-16 + -4a) Reorder the terms: -32 + -11a = -16 + -3a + -4a Combine like terms: -3a + -4a = -7a -32 + -11a = -16 + -7a Solving -32 + -11a = -16 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -32 + -11a + 7a = -16 + -7a + 7a Combine like terms: -11a + 7a = -4a -32 + -4a = -16 + -7a + 7a Combine like terms: -7a + 7a = 0 -32 + -4a = -16 + 0 -32 + -4a = -16 Add '32' to each side of the equation. -32 + 32 + -4a = -16 + 32 Combine like terms: -32 + 32 = 0 0 + -4a = -16 + 32 -4a = -16 + 32 Combine like terms: -16 + 32 = 16 -4a = 16 Divide each side by '-4'. a = -4 Simplifying a = -4
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