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Simplifying 7(6 + 8) = t + -4 + 2 Combine like terms: 6 + 8 = 14 7(14) = t + -4 + 2 Multiply 7 * 14 98 = t + -4 + 2 Reorder the terms: 98 = -4 + 2 + t Combine like terms: -4 + 2 = -2 98 = -2 + t Solving 98 = -2 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 98 + -1t = -2 + t + -1t Combine like terms: t + -1t = 0 98 + -1t = -2 + 0 98 + -1t = -2 Add '-98' to each side of the equation. 98 + -98 + -1t = -2 + -98 Combine like terms: 98 + -98 = 0 0 + -1t = -2 + -98 -1t = -2 + -98 Combine like terms: -2 + -98 = -100 -1t = -100 Divide each side by '-1'. t = 100 Simplifying t = 100
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