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Simplifying -8(5a + 5) + -1a = -7 + -8a Reorder the terms: -8(5 + 5a) + -1a = -7 + -8a (5 * -8 + 5a * -8) + -1a = -7 + -8a (-40 + -40a) + -1a = -7 + -8a Combine like terms: -40a + -1a = -41a -40 + -41a = -7 + -8a Solving -40 + -41a = -7 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -40 + -41a + 8a = -7 + -8a + 8a Combine like terms: -41a + 8a = -33a -40 + -33a = -7 + -8a + 8a Combine like terms: -8a + 8a = 0 -40 + -33a = -7 + 0 -40 + -33a = -7 Add '40' to each side of the equation. -40 + 40 + -33a = -7 + 40 Combine like terms: -40 + 40 = 0 0 + -33a = -7 + 40 -33a = -7 + 40 Combine like terms: -7 + 40 = 33 -33a = 33 Divide each side by '-33'. a = -1 Simplifying a = -1
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