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Simplifying 5[a + -8] + 7 = 3[a + -7] Reorder the terms: 5[-8 + a] + 7 = 3[a + -7] [-8 * 5 + a * 5] + 7 = 3[a + -7] [-40 + 5a] + 7 = 3[a + -7] Reorder the terms: -40 + 7 + 5a = 3[a + -7] Combine like terms: -40 + 7 = -33 -33 + 5a = 3[a + -7] Reorder the terms: -33 + 5a = 3[-7 + a] -33 + 5a = [-7 * 3 + a * 3] -33 + 5a = [-21 + 3a] Solving -33 + 5a = -21 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -33 + 5a + -3a = -21 + 3a + -3a Combine like terms: 5a + -3a = 2a -33 + 2a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -33 + 2a = -21 + 0 -33 + 2a = -21 Add '33' to each side of the equation. -33 + 33 + 2a = -21 + 33 Combine like terms: -33 + 33 = 0 0 + 2a = -21 + 33 2a = -21 + 33 Combine like terms: -21 + 33 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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