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Simplifying -5(8a + 1) + -5 = -7a + 23 Reorder the terms: -5(1 + 8a) + -5 = -7a + 23 (1 * -5 + 8a * -5) + -5 = -7a + 23 (-5 + -40a) + -5 = -7a + 23 Reorder the terms: -5 + -5 + -40a = -7a + 23 Combine like terms: -5 + -5 = -10 -10 + -40a = -7a + 23 Reorder the terms: -10 + -40a = 23 + -7a Solving -10 + -40a = 23 + -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. -10 + -40a + 7a = 23 + -7a + 7a Combine like terms: -40a + 7a = -33a -10 + -33a = 23 + -7a + 7a Combine like terms: -7a + 7a = 0 -10 + -33a = 23 + 0 -10 + -33a = 23 Add '10' to each side of the equation. -10 + 10 + -33a = 23 + 10 Combine like terms: -10 + 10 = 0 0 + -33a = 23 + 10 -33a = 23 + 10 Combine like terms: 23 + 10 = 33 -33a = 33 Divide each side by '-33'. a = -1 Simplifying a = -1
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