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Simplifying 7 + 3[2a + -4(8 + 2a) + -3 + a] = 7a + -3(a + 1) 7 + 3[2a + (8 * -4 + 2a * -4) + -3 + a] = 7a + -3(a + 1) 7 + 3[2a + (-32 + -8a) + -3 + a] = 7a + -3(a + 1) Reorder the terms: 7 + 3[-32 + -3 + 2a + -8a + a] = 7a + -3(a + 1) Combine like terms: -32 + -3 = -35 7 + 3[-35 + 2a + -8a + a] = 7a + -3(a + 1) Combine like terms: 2a + -8a = -6a 7 + 3[-35 + -6a + a] = 7a + -3(a + 1) Combine like terms: -6a + a = -5a 7 + 3[-35 + -5a] = 7a + -3(a + 1) 7 + [-35 * 3 + -5a * 3] = 7a + -3(a + 1) 7 + [-105 + -15a] = 7a + -3(a + 1) Combine like terms: 7 + -105 = -98 -98 + -15a = 7a + -3(a + 1) Reorder the terms: -98 + -15a = 7a + -3(1 + a) -98 + -15a = 7a + (1 * -3 + a * -3) -98 + -15a = 7a + (-3 + -3a) Reorder the terms: -98 + -15a = -3 + 7a + -3a Combine like terms: 7a + -3a = 4a -98 + -15a = -3 + 4a Solving -98 + -15a = -3 + 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. -98 + -15a + -4a = -3 + 4a + -4a Combine like terms: -15a + -4a = -19a -98 + -19a = -3 + 4a + -4a Combine like terms: 4a + -4a = 0 -98 + -19a = -3 + 0 -98 + -19a = -3 Add '98' to each side of the equation. -98 + 98 + -19a = -3 + 98 Combine like terms: -98 + 98 = 0 0 + -19a = -3 + 98 -19a = -3 + 98 Combine like terms: -3 + 98 = 95 -19a = 95 Divide each side by '-19'. a = -5 Simplifying a = -5
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