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Simplifying 7(a * 0 + 6) + -2 = a(p + -2) + 10 Reorder the terms for easier multiplication: 7(0a + 6) + -2 = a(p + -2) + 10 Anything times zero is zero. 7(0a + 6) + -2 = a(p + -2) + 10 Combine like terms: 0 + 6 = 6 7(6) + -2 = a(p + -2) + 10 Multiply 7 * 6 42 + -2 = a(p + -2) + 10 Combine like terms: 42 + -2 = 40 40 = a(p + -2) + 10 Reorder the terms: 40 = a(-2 + p) + 10 40 = (-2 * a + p * a) + 10 40 = (-2a + ap) + 10 Reorder the terms: 40 = 10 + -2a + ap Solving 40 = 10 + -2a + ap Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 40 + 2a = 10 + -2a + 2a + ap Combine like terms: -2a + 2a = 0 40 + 2a = 10 + 0 + ap 40 + 2a = 10 + ap Add '-1ap' to each side of the equation. 40 + 2a + -1ap = 10 + ap + -1ap Combine like terms: ap + -1ap = 0 40 + 2a + -1ap = 10 + 0 40 + 2a + -1ap = 10 Add '-40' to each side of the equation. 40 + 2a + -40 + -1ap = 10 + -40 Reorder the terms: 40 + -40 + 2a + -1ap = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 2a + -1ap = 10 + -40 2a + -1ap = 10 + -40 Combine like terms: 10 + -40 = -30 2a + -1ap = -30 Reorder the terms: 30 + 2a + -1ap = -30 + 30 Combine like terms: -30 + 30 = 0 30 + 2a + -1ap = 0 The solution to this equation could not be determined.
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