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Simplifying 4(7a + 7) + 4 = -8(6 + -6a) Reorder the terms: 4(7 + 7a) + 4 = -8(6 + -6a) (7 * 4 + 7a * 4) + 4 = -8(6 + -6a) (28 + 28a) + 4 = -8(6 + -6a) Reorder the terms: 28 + 4 + 28a = -8(6 + -6a) Combine like terms: 28 + 4 = 32 32 + 28a = -8(6 + -6a) 32 + 28a = (6 * -8 + -6a * -8) 32 + 28a = (-48 + 48a) Solving 32 + 28a = -48 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. 32 + 28a + -48a = -48 + 48a + -48a Combine like terms: 28a + -48a = -20a 32 + -20a = -48 + 48a + -48a Combine like terms: 48a + -48a = 0 32 + -20a = -48 + 0 32 + -20a = -48 Add '-32' to each side of the equation. 32 + -32 + -20a = -48 + -32 Combine like terms: 32 + -32 = 0 0 + -20a = -48 + -32 -20a = -48 + -32 Combine like terms: -48 + -32 = -80 -20a = -80 Divide each side by '-20'. a = 4 Simplifying a = 4
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